4
4
19. A =
20. A =
cos <p sin p O — sin <p cos p 0 0 0 1
cos ip 0 sin (p 0 1 0 — sin ip 0 cos
21. A =
23. A =
25. A
0 1 1 1 0 1 1 1 0
1 1 3 0 1 1
0 0 2
12 0 0 3 5 0 0 0 0 6 4 0 0 2 1
22. A =
24. A =
26. A =
1 2 0 3 5 0 0 0 1
0 0 1 0 1 2 1 3 1
0 0 3 5 0 0 12 6 4 0 0 2 10 0
Odpowiedzi. 19. AT\ 20. AT\ 21. \
23.
25.
1 |
-1 |
-1' |
5 |
-3 |
1 ' | |
0 |
1 |
-1 t-l|Cł-H|CS 1 |
; 24. |
-2 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
' -1 |
1 |
1' |
' -5 |
2 |
0 ' | |
1 |
-1 |
1 |
; 22. |
3 |
-1 |
0 |
1 |
1 |
-1 |
0 |
0 |
1 |
-5 |
2 |
0 |
0 ' |
0 |
0 |
___ 1 o |
2 | |
3 |
-1 |
0 |
0 |
; 26. |
0 |
0 |
& 1 |
-3 |
0 |
0 |
1 2 |
2 |
2 |
-5 |
0 |
0 | |
0 |
0 |
1 |
-3 |
-1 |
3 |
0 |
0 |
1 2 1 0 1 1 0 0 1
27. Macierz A spełnia równanie A + A~l = Obliczyć A2 + A~2.
Rozwiązać równanie macierzowe:
28.
2 3 1 4
29. X
30.
31.
X =
1 3
2 5
2 1 2 0
2 0 1 1 -5 3
1 1 '
1 2 ’
X |
' 1 0 ■ |
T |
'14' |
2 2 |
1 2 |
+ X =
X,
1 2 2 0